Constraint equations for \(3 + 1\) vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case

DOI10.1007/s00023-014-0392-7zbMath1335.83007arXiv1302.1473OpenAlexW2089607488MaRDI QIDQ5963254

Cécile Huneau

Publication date: 7 March 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1473

zbMATH Keywords

asymptotically flatelliptic systemChoquet-BruhatEinstein constraint equationsinversion of the LaplacianMoncrieftranslational Killing field

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) PDEs in connection with relativity and gravitational theory (35Q75) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (9)

The general relativistic constraint equations ⋮ Stability in exponential time of Minkowski space-time with a translation space-like Killing field ⋮ Stability of Minkowski space-time with a translation space-like Killing field ⋮ Einstein equations under polarized \(\mathbb{U}(1)\) symmetry in an elliptic gauge ⋮ Maximal hypersurfaces in spacetimes with a nonvanishing spacelike Killing field ⋮ Einstein vacuum equations with 𝕌(1) symmetry in an elliptic gauge: Local well-posedness and blow-up criterium ⋮ High-frequency backreaction for the Einstein equations under polarized \(\mathbb U(1)\)-symmetry ⋮ Global regularity for Einstein-Klein-Gordon system with \(U(1)\times\mathbb{R}\) isometry group. I ⋮ Global regularity for Einstein-Klein Gordon system with \(U(1)\times\mathbb{R}\) isometry group

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